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Finding the Fourth Proportional to 5,902.80, 8,146.76 and 4,484.16

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Solution

The fourth proportional to 5,902.80, 8,146.76 and 4,484.16 is: 6,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.80 : 8,146.76 = 4,484.16 : x
  2. Step 2: Convert to fraction form
    5,902.80/8,146.76 = 4,484.16/x
  3. Step 3: Cross multiply
    5,902.80x = 8,146.76 × 4,484.16
  4. Step 4: Simplify right side
    5,902.80x = 36,531,352.90
  5. Step 5: Solve for x
    x = 36,531,352.90/5,902.80
  6. Step 6: Final answer
    x = 6,188.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.